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Product space and the digital plane via relations

Author

Listed:
  • Allam, A.A.
  • Bakeir, M.Y.
  • Abo-Tabl, E.A.

Abstract

Recently, the general topology has become the appropriated framework for any subject related to relations. The reason is that topology is required not only for mathematics and physics but also for biology, rough set theory, biochemistry, quantum, information systems and dynamics. In this paper, we introduce a concept of product space by relations. In addition, we study some properties in product space using relations. Finally, we study the digital plane and we show that there are only two topologies in Z2 within our theory.

Suggested Citation

  • Allam, A.A. & Bakeir, M.Y. & Abo-Tabl, E.A., 2009. "Product space and the digital plane via relations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 764-771.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:764-771
    DOI: 10.1016/j.chaos.2008.03.012
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    References listed on IDEAS

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    1. El Naschie, M.S., 2007. "Rigorous derivation of the inverse electromagnetic fine structure constant α¯=1/137.036 using super string theory and the holographic boundary of E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 893-895.
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    3. Lashin, E.F. & Medhat, T., 2005. "Topological reduction of information systems," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 277-286.
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